Application of weighting functions to the ranking of fuzzy numbers

Application of weighting functions to the ranking of fuzzy numbers

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Article ID: iaor20118857
Volume: 62
Issue: 5
Start Page Number: 2246
End Page Number: 2258
Publication Date: Sep 2011
Journal: Computers and Mathematics with Applications
Authors:
Keywords: engineering, economics
Abstract:

This paper proposes a new ranking method for fuzzy numbers, which uses a defuzzification of fuzzy numbers and a weighting function. Following Saeidifar and Pasha (2008), first, we define a weighted distance measure on fuzzy numbers, and then, by minimizing this distance, the weighted interval and point approximations of fuzzy numbers are obtained. These indices are applied to rank the fuzzy numbers. This method is new and interesting for ranking fuzzy numbers, and it can be applied for solving and optimizing engineering and economics problems in a fuzzy environment.

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